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Random battles ironically are not that random as the are hidden step counters that determine when they happen if you're in a spot where a fight can happen and in some games what type of fight you load into and enemy you fight, FFVII is a prime example as if you do the exact same movement in 10 different playthoughs you'll get the same number of fights and fight the exact same enemies.

In older games developers programmed the games to be tighter on the counter but sometimes underestimated the encounter rate so it resulted in some games having erractic encounter rates.